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Аналитическое решение класса рекуррентных соотношений с аддитивной функцией степенного вида в целях анализа трудоёмкости рекурсивных алгоритмов
Автоматизация и современные технологии. 2011. № 03. С. 25–29.
Головешкин В., Пономарев А. В., Ulyanov M.
Analytical decision of the nonlinear recurrent correlation special class with exponential additive function is proposed. Researched recurrent correlation are typical for recursive algorithms laborious function, which have been developed by decomposition method and possess exponential laborious of the received decisions consolidation. Analytical decisions for recurrent correlation with arguments type floor and ceiling arising for researched class theoretical consideration are derived. Results make it possible to analytically receive of the recursive algorithms laborious functions which decompose of the determined task with exponential laborious of the decisions consolidation.
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026
Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
Added: June 23, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.
Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer: original packets are encoded into coded packets, and the message is reconstructed after the first successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...
Added: December 24, 2025
Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset
Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.
Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...
Added: December 1, 2025
Rubchinskiy A., Chubarova D., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2025. No. WP7/2025/01.
The article examines one of the most famous examples of socio-economic systems, characterized by significant uncertainty – the S&P-500 stock market, where shares of 500 largest US companies are traded. No assumptions are made about the probabilistic characteristics of the stock market. A flexible algorithm for daily trading has been developed, based on both known fixed data ...
Added: November 9, 2025
Смирнов И. А., Черкесова Л. В., Разумов П. В. et al., Современные наукоемкие технологии 2019 Т. 1 С. 114–118
The proposed article compares the quantum factorization algorithm of Peter Shor and the factorization algorithm of the ?-John Pollard method. As is well known, the quantum algorithm for factoring Shor consists of classical and quantum parts. In the classical part, it is proposed to use the Euclidean algorithm to find the greatest common divisor of ...
Added: May 10, 2023
Семакин И. Г., Залогова Л. А., Русаков С. В. et al., М.: Просвещение, 2022.
Учебник предназначен для изучения в 8 классе общеобразовательной школы. Учебник содержит теоретический материал курса, материалы для закрепления знаний. В конце каждой главы в схематическом виде представлена схема основных понятий. Некоторые главы содержат дополнительный раздел, предназначенный для изучения темы на углубленном уровне.
Учебник допущен к использованию в соответствии с Приказом Министерства просвещения Российской Федерации №254 от 20.05.20 ...
Added: October 31, 2022
Галагуз Ю. П., Kuzmina L., Осипов Ю. В., Известия РАН. Механика жидкости и газа 2019 № 1 С. 86–98
The macroscopic model of long-term deep-bed _filtration flow of a monodisperse suspension through a porous medium with size-exclusion particle-capture mechanism and without mobilization of retained particles is considered. It is assumed that the pore accessibility and the fractional particle flux depend on the deposit concentration and at the initial time the porous medium contains a ...
Added: February 14, 2019
Ludmila I. Kuzmina, Osipov Y., International Journal for Computational Civil and Structural Engineering 2016 Vol. 12 No. 3 P. 145–150
Filtration problem of suspension with identical particles in a porous medium is considered. Physical and mathematical models for size-exclusion capture mechanism of suspended particles at the inlet of filter pores are presented. An exact solution is constructed for the forward and back flow of suspension in a porous medium in case of linear filtration coefficient. ...
Added: December 26, 2016
Vybornyi E., Наноструктуры. Математическая физика и моделирование 2016 Т. 15 № 2 С. 5–20
We study the asymptotics of solutions of linear difference equations (recurrence relations) with slowly varying coeffi cients. It is known that the local asymptotic behavior of solutions can be obtained similarly to the WKB approximation for linear differential equations. In contrast to the continuous case, one of the major obstacles to the widespread use of ...
Added: October 20, 2016
Gromov E., Наседкина Т. В., Tyutin V. V., Труды НГТУ им. Р.Е. Алексеева 2014 № 2(104) С. 320–325
Purpose: Dynamics of solitons is considered in the framework of the extended nonlinear Schrödinger equation including a pseudo-stimulated-Raman-scattering term, i.e., a spatial-domain counterpart of the stimulated-Raman-scattering term, which is a known ingredient of the temporal-domain nonlinear Schrödinger equation in optics. Also included is inhomogeneity of the spatial second-order dispersion in kink-type form.
Approach: Soliton’s dynamic investigated ...
Added: June 17, 2014
Chebotarev A., Радионов А. А., Тлячев Т. В., Математические заметки 2012 Т. 92 № 5 С. 762–777
We consider the multimode generalization of the normally ordered factorization formula of squeezings. This formula allows us to establish relationships between various representations of squeezed states, to calculate partial traces, mean values, and variations. The main results are expressed in terms of the matrix representation of canonical transformations which is a convenient and numerically stable ...
Added: January 15, 2014
Tlyachev T. V., Chebotarev A.M., Chirkin A. S., Physica Scripta 2013 Vol. 153 P. 014060–014064
A new approach is proposed to solve the quantum evolution problem for a system with an arbitrary number of coupled optical parametric processes. Our method is based on the canonical transformations which define the evolution of the system in the Heisenberg picture. This theory overcomes the difficulties arising in the Wei–Norman method. The application of ...
Added: January 15, 2014
Takasaki K., Takebe T., Analysis and Mathematical Physics 2012 No. 2 P. 171–214
A construction of general solutions of the hbar-dependent Toda hierarchy is presented. The construction is based on a Riemann–Hilbert problem for the pairs (L, M) and (L_, M_) of Lax and Orlov-Schulman operators. This Riemann–Hilbert problem is translated to the language of the dressing operators W and W_. The dressing operators are set in an ...
Added: June 22, 2012